Multiple choice

What is the length of an arc which subtends an angle of 45° at the centre of a circle with radius 8 inches?

  1. 2π inches

  2. 3π inches

  3. 4π inches

  4. 6π inches

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A Correct answer
Explanation

Arc length = (theta/360) * 2 * pi * r. Arc length = (45/360) * 2 * pi * 8 = (1/8) * 16 * pi = 2 * pi.

AI explanation

The length of an arc is determined by the formula arc length equals theta divided by 360, multiplied by 2 multiplied by pi multiplied by the radius. Substituting the given values of 45 degrees for theta and 8 inches for the radius gives 45 divided by 360 multiplied by 16 multiplied by pi. Simplifying the expression yields an arc length of 2pi inches.